solve:(x-y)².If x=a/b and y=c/d
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Given X= a/b
Y = c/d
Required to find..(x-y)^2
we know that (a-b)^2 = a^2 - 2ab +b^2
in the same way (x-y)^2 =
x^2 - 2xy + y^2 = 0
subsitute x and y values
(a/b)^2 - 2.(a/b).(c/d) + (c/d)^2 = 0
a^2/b^2 -2.ac/bd + c^2/d^2 =0
l.C.M
a^2×(d^2) - 2ac(bd) +c^2 × (b^2)
---------------------------------------------- =0
b^2 × d^2
(ad)^2 -2abcd + (cb)^2 = 0
its in the form of
(ad + cb)2
Y = c/d
Required to find..(x-y)^2
we know that (a-b)^2 = a^2 - 2ab +b^2
in the same way (x-y)^2 =
x^2 - 2xy + y^2 = 0
subsitute x and y values
(a/b)^2 - 2.(a/b).(c/d) + (c/d)^2 = 0
a^2/b^2 -2.ac/bd + c^2/d^2 =0
l.C.M
a^2×(d^2) - 2ac(bd) +c^2 × (b^2)
---------------------------------------------- =0
b^2 × d^2
(ad)^2 -2abcd + (cb)^2 = 0
its in the form of
(ad + cb)2
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